At the heart of this hierarchical strategy stands the principle of compositionality – where the meaning of the whole can be derived from those of its constituents. Indeed, the world around us is highly structured. Our environment consists of a varied collection of objects, tightly interconnected through dependencies of all sorts: from close-by to long-range, and from physical and dynamic to abstract and semantic [1]}, [2]}. As pointed out by prior literature [3]}, [4]}, [5]}, [6]}, compositional representations are pivotal to human intelligence, supporting our capabilities of reasoning [7]}, planning [8]}, learning [9]} and imagination [10]}. Realizing this principle, and explicitly capturing the objects and elements composing the scene, is thereby a desirable goal, that can make the generative process more explainable, controllable, versatile and efficient.
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